# Approximate String Matching: A Simpler Faster Algorithm

Cole, Richard and Hariharan, Ramesh (2000) Approximate String Matching: A Simpler Faster Algorithm. In: SIAM Journal on Computing, 31 (6). pp. 1761-1782.

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We give two algorithms for finding all approximate matches of a pattern in a text, where the edit distance between the pattern and the matching text substring is at most k. The first algorithm, which is quite simple, runs in time $O(\frac{nk^3}{m}+n+m)$ on all patterns except k-break periodic strings (defined later). The second algorithm runs in time $O(\frac{nk^4}{m}+n+m)$ on k-break periodic patterns. The two classes of patterns are easily distinguished in O(m)time.